ISM_T11_C10_A - CHAPTER 10 CONIC SECTIONS AND POLAR...

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CHAPTER 10 CONIC SECTIONS AND POLAR COORDINATES 10.1 CONIC SECTIONS AND QUADRATIC EQUATIONS 1. x 4p 8 p 2; focus is (2 0), directrix is x 2 œÊœ Ê œ ß œ ± y 8 # 2. x 4p 4 p 1; focus is ( 1 0), directrix is x 1 œ± Ê œ Ê œ ± ß œ y 4 # 3. y 4p 6 p ; focus is , directrix is y Ê ! ß± œ x3 3 3 6 # ## # ˆ‰ 4. y 4p 2 p ; focus is , directrix is y Ê œ ! ß œ ± x1 1 1 2 # # 5. 1 c 4 9 13 foci are 13 ; vertices are 2 0 ; asymptotes are y x x 3 49 y # # ±œÊœ ²œ Ê „ ß ! ß œ È ÈÈ Š‹ ab # 6. 1 c 9 4 5 foci are 0 5 ; vertices are 0 3 x y # # ²œÊœ ±œ Ê ß ß È 7. y 1 c 2 1 1 foci are 1 0 ; vertices are 2 x 2 # ²œÊœ ±œÊ ß ! # 8. x 1 c 4 1 5 foci are 0 5 ; vertices are 2 ; asymptotes are y 2x y 4 # ±œÊœ ²œ Ê ß ! ß œ # È 9. y 12x x 4p 12 p 3; 10. x 6y y 4p 6 p ; # # # # œ Êœ Ê œ Êœ œ Êœ Ê œÊœ y 1 6 # # focus is ( ), directrix is x 3 focus is , directrix is y $ß! œ ± œ ± 33 11. x 8y y 4p 8 p 2; 12. y 2x x 4p 2 p ; # # ± ±# # " œ ± Êœ Ê œÊœ œ x 8 y # # focus is ( 2), directrix is y 2 focus is , directrix is x !ß±
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This note was uploaded on 10/13/2011 for the course MATHEMATIC 103 taught by Professor Thommas during the Spring '11 term at LCC Intl University.

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ISM_T11_C10_A - CHAPTER 10 CONIC SECTIONS AND POLAR...

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